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In data-driven inverse optimization an observer aims to learn the preferences of an agent who solves a parametric optimization problem depending on an exogenous signal. Thus, the observer seeks the agent's objective function that best…

Optimization and Control · Mathematics 2017-07-25 Peyman Mohajerin Esfahani , Soroosh Shafieezadeh-Abadeh , Grani Adiwena Hanasusanto , Daniel Kuhn

Trajectory and control secrecy is an important issue in robotics security. This paper proposes a novel algorithm for the control input inference of a mobile agent without knowing its control objective. Specifically, the algorithm first…

Robotics · Computer Science 2023-07-21 Chendi Qu , Jianping He , Xiaoming Duan , Shukun Wu

Model-free control based on the idea of Reinforcement Learning is a promising approach that has recently gained extensive attention. However, Reinforcement-Learning-based control methods solely focus on the regulation problem or learn to…

Systems and Control · Electrical Eng. & Systems 2019-12-02 Florian Köpf , Johannes Westermann , Michael Flad , Sören Hohmann

In this paper, we propose a reinforcement learning-based algorithm for trajectory optimization for constrained dynamical systems. This problem is motivated by the fact that for most robotic systems, the dynamics may not always be known.…

Machine Learning · Statistics 2020-03-05 Kei Ota , Devesh K. Jha , Tomoaki Oiki , Mamoru Miura , Takashi Nammoto , Daniel Nikovski , Toshisada Mariyama

We study inverse optimization (IO), where the goal is to use a parametric optimization program as the hypothesis class to infer relationships between input-decision pairs. Most of the literature focuses on learning only the objective…

Optimization and Control · Mathematics 2025-05-22 Ke Ren , Peyman Mohajerin Esfahani , Angelos Georghiou

The inverse linear-quadratic optimal control problem is a system identification problem whose aim is to recover the quadratic cost function and hence the closed-loop system matrices based on observations of optimal trajectories. In this…

Optimization and Control · Mathematics 2022-09-22 Han Zhang , Axel Ringh

Continuous control and planning remains a major challenge in robotics and machine learning. Neuroscience offers the possibility of learning from animal brains that implement highly successful controllers, but it is unclear how to relate an…

Artificial Intelligence · Computer Science 2019-08-14 Saurabh Daptardar , Paul Schrater , Xaq Pitkow

We consider the problem of recovering an expert's reward function with inverse reinforcement learning (IRL) when there are missing/incomplete state-action pairs or observations in the demonstrated trajectories. This issue of missing…

Machine Learning · Computer Science 2019-11-19 Tien Mai , Quoc Phong Nguyen , Kian Hsiang Low , Patrick Jaillet

Inverse Optimal Control (IOC) is a powerful framework for learning a behaviour from observations of experts. The framework aims to identify the underlying cost function that the observed optimal trajectories (the experts' behaviour) are…

Optimization and Control · Mathematics 2023-05-25 Han Zhang , Axel Ringh

This paper presents a learning-based approach for impromptu trajectory tracking for non-minimum phase systems, i.e., systems with unstable inverse dynamics. Inversion-based feedforward approaches are commonly used for improving tracking…

Robotics · Computer Science 2018-03-08 Siqi Zhou , Mohamed K. Helwa , Angela P. Schoellig

Underactuated systems like sea vessels have degrees of motion that are insufficiently matched by a set of independent actuation forces. In addition, the underlying trajectory-tracking control problems grow in complexity in order to decide…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Mohammed Abouheaf , Wail Gueaieb , Md. Suruz Miah , Davide Spinello

This paper addresses the problem of online inverse reinforcement learning for systems with limited data and uncertain dynamics. In the developed approach, the state and control trajectories are recorded online by observing an agent perform…

Systems and Control · Electrical Eng. & Systems 2020-08-21 Ryan Self , S M Nahid Mahmud , Katrine Hareland , Rushikesh Kamalapurkar

Inverse Optimal Control (IOC) aims to infer the underlying cost functional of an agent from observations of its expert behavior. This paper focuses on the IOC problem within the continuous-time linear quadratic regulator framework,…

Optimization and Control · Mathematics 2025-07-29 Meiling Yu , Lechen Feng , Lei Jiang , Yuan-Hua Ni

This paper introduces a novel model-free and a partially model-free algorithm for inverse optimal control (IOC), also known as inverse reinforcement learning (IRL), aimed at estimating the cost function of continuous-time nonlinear…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Hamed Jabbari Asl , Eiji Uchibe

When attempting to recover functions from observational data, one naturally seeks to do so in an optimal manner with respect to some modeling assumption. With a focus put on the worst-case setting, this is the standard goal of Optimal…

Optimization and Control · Mathematics 2020-04-02 Mahmood Ettehad , Simon Foucart

Inverse optimization seeks to recover unknown objective parameters from observed decisions, yet fundamental questions about when recovery is possible have received limited formal treatment. This paper develops a comprehensive theoretical…

Optimization and Control · Mathematics 2026-03-19 Farzin Ahmadi , Fardin Ganjkhanloo , Kimia Ghobadi

Given a set of observations generated by an optimization process, the goal of inverse optimization is to determine likely parameters of that process. We cast inverse optimization as a form of deep learning. Our method, called deep inverse…

Machine Learning · Computer Science 2018-12-04 Yingcong Tan , Andrew Delong , Daria Terekhov

Inverse reinforcement learning (IRL), which infers reward functions from demonstrations, is a valuable tool for modeling and understanding decision-making behavior. Many variants of IRL have been developed to capture complexities of human…

Machine Learning · Computer Science 2026-05-14 Leo Benac , Abhishek Sharma , Alihan Huyuk , Finale Doshi-Velez

Many robotics tasks, such as path planning or trajectory optimization, are formulated as optimal control problems (OCPs). The key to obtaining high performance lies in the design of the OCP's objective function. In practice, the objective…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Trevor Barron , Xiaojing Zhang

This paper presents a global trajectory optimization framework for minimizing lap time in autonomous racing under uncertain vehicle dynamics. Optimizing the trajectory over the full racing horizon is computationally expensive, and tracking…

Robotics · Computer Science 2026-01-30 Youngim Nam , Jungbin Kim , Kyungtae Kang , Cheolhyeon Kwon